221202020000 has 240 divisors, whose sum is σ = 591315749640. Its totient is φ = 80941056000.

The previous prime is 221202019943. The next prime is 221202020009. The reversal of 221202020000 is 20202122.

It can be written as a sum of positive squares in 20 ways, for example, as 203541736336 + 17660283664 = 451156^2 + 132892^2 .

It is not an unprimeable number, because it can be changed into a prime (221202020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29376236 + ... + 29383764.

Almost surely, 2^221202020000 is an apocalyptic number.

221202020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221202020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295657874820).

221202020000 is an abundant number, since it is smaller than the sum of its proper divisors (370113729640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221202020000 is a wasteful number, since it uses less digits than its factorization.

221202020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 221202020000 its reverse (20202122), we get a palindrome (221222222122).

The spelling of 221202020000 in words is "two hundred twenty-one billion, two hundred two million, twenty thousand".